# Publications

## Pages

Thursday, 6 September, 2018
Lorenz Halbeisen, Norbert Hungerbühler

We give an infinite family of congruent number elliptic curves, each with rank at least two, which are related to integral solutions of m^2=n^2+nl+l^2.

arXiv:1809.02037
Tuesday, 4 September, 2018
Hugo Duminil-Copin, Shirshendu Ganguly, Alan Hammond, Ioan Manolescu

Let c_n = c_n(d) denote the number of self-avoiding walks of length n starting at the origin in the Euclidean nearest-neighbour lattice \mathbb{Z}^d. Let \mu = \lim_n c_n^{1/n} denote the...

arXiv:1809.00760
Monday, 3 September, 2018
Martin Fraas, Gian Michele Graf, Lisa Hänggli

The measurement of a quantum system becomes itself a quantum-mechanical process once the apparatus is internalized. That shift of perspective may result in different physical predictions for a...

arXiv:1809.00516
Wednesday, 29 August, 2018
Norbert Hungerbühler, Micha Wasem

Given a real function f on an interval [a,b] satisfying mild regularity conditions, we determine the number of zeros of f by evaluating a certain integral. The integrand depends on f,f′ and f...

arXiv:1808.09690
Tuesday, 28 August, 2018
Yukun He, Antti Knowles, Matteo Marcozzi

We prove a local law for the adjacency matrix of the Erd\H{o}s-R\'enyi graph G(N,p) in the supercritical regime pN \geq C\log N where G(N,p) has with high probability no isolated vertices. In...

arXiv:1808.09437
Tuesday, 28 August, 2018
Yukun He, Antti Knowles

The celebrated Wigner-Gaudin-Mehta-Dyson (WGMD) (or sine kernel) statistics of random matrix theory describes the universal correlations of eigenvalues on the microscopic scale, i.e....

arXiv:1808.09436
Tuesday, 28 August, 2018
Victor Gorbenko, Slava Rychkov, Bernardo Zan

We study complex CFTs describing fixed points of the two-dimensional Q-state Potts model with Q>4. Their existence is closely related to the weak first-order phase transition and walking RG...

arXiv:1808.04380
Thursday, 23 August, 2018
Adrian del Rio, Ruth Durrer, Subodh P. Patil

During single clock inflation, hidden fields (i.e. fields coupled to the inflaton only gravitationally) in their adiabatic vacua can ordinarily only affect observables through virtual effects....

arXiv:1808.09282
Wednesday, 22 August, 2018
Omer Angel, Asaf Ferber, Benny Sudakov, Vincent Tassion

Given a graph G and a bijection f : E(G)\rightarrow \{1, 2, \ldots,e(G)\}, we say that a trail/path in G is f-\emph{increasing} if the labels of consecutive edges of this trail/path form an...

arXiv:1808.07351
Tuesday, 21 August, 2018
Anton Alekseev, Benjamin Hoffman, Jeremy Lane, Yanpeng Li

For a compact Poisson-Lie group K, the homogeneous space K/T carries a family of symplectic forms\omega_\xi^s, where \xi \in \mathfrak{t}^*_+ is in the positive Weyl chamber and s \in \mathbb{R...

arXiv:1808.06975
Friday, 17 August, 2018
Seung-Joo Lee, Wolfgang Lerche, Timo Weigand

We test various conjectures about quantum gravity for six-dimensional string compactifications in the framework of F-theory. Starting with a gauge theory coupled to gravity, we analyze the limit...

arXiv:1808.05958
Friday, 17 August, 2018
Victor Gorbenko, Slava Rychkov, Bernardo Zan

We discuss walking behavior in gauge theories and weak first-order phase transitions in statistical physics. Despite appearing in very different systems (QCD below the conformal window, the...

arXiv:1807.11512